Mathematics × Programming Competition #6
10/9/2017 UTC 05:00 - 17/9/2017 UTC 05:00
For Chinese version please scroll to the bottom. 中文版請見文末。
Question
Given that x is a square number and p is a prime number, and they satisfy the equation x = 1000000007p + 1. Find the sum of all possible values of p.
Answer submission
Please submit your answer through this link.
Rules
- This competition will last for 7 days. After that, no more submission will be accepted.
- Participants who submit the answer as a comment below this post will be disqualified.
- Participants can submit an unlimited number of solutions, however only the latest answer will be considered.
- You have to upvote this post in order to be eligible for the competition.
Prizes
- The three fastest contestants would win the first prize, second prize and third prize respectively.
- Other contestants who gave the correct answer would enter a lucky draw. 5 winners will be drawn.
- Those who resteemed this post will have 400% higher chance to win in the lucky draw.
- @kenchung reserves all the rights to disqualify any suspected cheating players and to decide the distribution of prizes among the winner(s).
| Name of prize | Max no. of prizes | SBD | SP (sponsored by @steemstem ! ) |
|---|---|---|---|
| First prize | 1 | SBD payout of this post / n | 7.5 |
| Second prize | 1 | SBD payout of this post / n | 5 |
| Third prize | 1 | SBD payout of this post / n | 2.5 |
| Consolation prize | 5 | SBD payout of this post / n | 0 |
where n is the total number of winners in this competition. n = min (number of participants getting the correct answer, 8).
The steemSTEM project (@steemstem) is a community-supported project aiming to increase the quality and the visibility of STEM (STEM is the acronym for Science, Technology, Engineering and Mathematics) articles on Steemit. Please support steemSTEM by following @steemstem and joining the chat channel. You can also consider joining a private curation trail to further support steemSTEM by asking about it in the chat channel. In order to further promote the use of the chat channel, I will stop announcing the time of next competition via a post. Instead I will announce the time in advance in the chat channel!
數學 × 程式編寫比賽 (第六回)
10/9/2017 UTC 05:00 - 17/9/2017 UTC 05:00
問題
已知 x 為平方數，而 p 為質數，且符合公式 x = 1000000007p + 1。求 p 所有可能值之和。
答案提交
請經此連結提交答案。
規則
- 此比賽為時7天，其後將不會再接受新答案。
- 嚴禁在回覆公開答案，否則將被取消資格。
- 參加者可以重覆提交答案，但比賽終結時只會考慮最後提交的答案。
- 你必須upvote此帖方能參加比賽。
獎品
- 最快給出正確答案的三名參賽者將分別獲得一等獎、二等獎和三等獎。
- 其他給出正確答案的參賽者將可參與抽獎。5名參賽者將被選出。
- Resteem此帖文者將有額外400％的得獎機會。
- 本人保留一切最終權利，包括但不限於取消任何疑似作弊者的資格並決定獲獎者的獎勵分配。
| 獎項 | 獎項數目 | SBD | SP (由 @steemstem 贊助！) |
|---|---|---|---|
| 一等獎 | 1 | 此帖文的 SBD 金額 / n | 7.5 |
| 二等獎 | 1 | 此帖文的 SBD 金額 / n | 5 |
| 三等獎 | 1 | 此帖文的 SBD 金額 / n | 2.5 |
| 安慰獎 | 5 | 此帖文的 SBD 金額 / n | 0 |
其中 n 是本比賽中得獎者的總數。n = min (答對人數, 8)。
steemSTEM（@steemstem）是一個由steemit社群支持的項目，旨在宣傳STEM（STEM是科學，技術，工程和數學的首字母縮略詞）。 請追蹤 @steemSTEM 以及加入聊天頻道來支持steemSTEM。你還可以透過加入自動點讚系統來在為了進一步支持steemSTEM，詳情請在聊天頻道內向負責人士查詢。為了推廣聊天頻道的使用，我將不再透過發文來宣布下一場比賽的時間，我會在聊天頻道中提前公佈比賽時間。
这题有意思，可惜我数论学得不好，也是不太确定
你数学学得不好，让别人怎么活？！这题就用初中数学就够啦。
啊？难道我想复杂了？不用同余定理之类的么？
我反正是没用，我高中完全也没学习呀。基本就是数中初学水平。
對，tvb沒騙你啊，的確是初中知識就夠了，當然要想到那個方法才行啦
他一定是想复杂了。
Wow, this time it was quite hard to find out the solution... It took me a while 😹
glad that you figured out the way to solve it eventually ! :) hope that your answer is correct!
This is really interesting thank you
glad that you like it :)
I liked it very much.
Thanks for sharing... Love it.
I like it
U so good
Thks
calculations calculations results IQ maths maths keep posting
p是和1000000007相乘 还是仅仅是尾数？
相乘
如果是尾數的話可能會無限多解吧，而相乘可以確定為有限解
如果是尾数的话，p应该理解成0-9这十个数字吧，那样的话还是有限的哈哈哈
真的要把p定在0-9才行，不然感覺題目真的夠狠，呵
这是乘数，不是尾数呢。我早都交完了哈哈
我也是，我一開始還傻傻的用程式暴力破解，讓電腦炸了。我後來才發現當中的奧妙~
我开始也想用暴力法， 可是我发现没有上限呀，于是我就用了数学方法。但我也用了一下下程序哈哈。
Really interesting contest
thanks! :)
good post
very interesting
This post received an up-vote from YASH0108. If you would like to receive up-votes from YASH0108 on all your posts, simply FOLLOW @yash0108 Please consider up-voting this comment as this project is supported only by your up-votes!
Thank you for decent problem!
Send you my guess :-)
great, hope that you got it right! :)
joined, a very interesting question!
thanks! hope that you got it right!
Hello, as a member of MAP (Minnows Accelerator Project) you are receiving this message (and upvote!) to inform you of some exciting updates to the project.
Firstly, a new collaborative contest called Binary Stars is in pre-launch, with plenty of time to find a partner and enter Round 1.
Also, MAP contests now including voting by MAP members within the private Discord chat; this means you can help decide on our best new quality content creators.
And thirdly, we are launching a new Curated Content article, to be published every 3 days, with priority given to those articles posted within the MAP Room on Discord. We continue to be committed to supporting quality content on Steemit.
We now have over 120 MAP members, so would be good to come and say "Hi!" to some new friends!
If you are reading this and wish to be considered to join MAP, then please go to the current Signup page. Thanks!